DOI QR코드

DOI QR Code

Stress Intensity Factor Analysis of Elliptical Arc Through Cracks at Mechanical Fastener Holes by Weight Function Method ( I ) - Development of Weight Function Method -

가중함수법에 의한 기계적 체결홀에 존재하는 타원호형 관통균열의 음력확대계수 해석 ( I ) - 가중함수법의 전개 -

  • Published : 2001.10.01

Abstract

It has been reported that cracks at mechanical fastener holes usually nucleate as elliptical corner cracks at the faying surface of the mechanical joints and grow as elliptical arc through cracks after penetrating the opposite surface. The weight function method is an efficient technique to calculate the stress intensity factors fur elliptical cracks using uncracked stress field. In this study the weight function method for three dimensional mixed-mode problem applied to elliptical comer cracks Is modified for elliptical arc through cracks and the stress intensity factors at two surface points of elliptical arc through cracks at mechanical fastener holes are analyzed by the weight function method. This study consists of two parts and in part I , the weight function method for elliptical arc through cracks is developed and verified.

Keywords

Stress Intensity Factor;Weight Function Method;Elliptical Arc Through Crack;Mechanical fastener Hole;Finite Element Analysis;Reference Loathing

References

  1. Shivakumar, K. N. Tan., P. W. and Newman Jr., J. C., 1988, 'A Virtual Crack-Closure Technique for Calculating Stress Intensity Factors for Cracked Three Dimensional Bodies,' Int. J. of Fracture, Vol. 36, pp. R43-R50 https://doi.org/10.1007/BF00035103
  2. Raju, I. S. and Newman Jr., J. C., 1979, 'Stress-Intensity Factors for a Wide Range of Semi-Elliptical Surface Cracks in Finite-Thickness Plates,' Engng. Fracture Mechanics, Vol. 11, pp. 817-829 https://doi.org/10.1016/0013-7944(79)90139-5
  3. Raju, I. S., 1986, 'Calculation of Strain-Energy Release Rates with Higher Order and Singular Finite Elements,' Engng. Fracture Mechanics, Vol. 28, No. 3, pp. 251-274 https://doi.org/10.1016/0013-7944(87)90220-7
  4. Lin, X. B. and Smith, R. A., 1999, 'Stress Intensity Factors for Corner Cracks Emanating from Fastener Holes under Tension,' Engng. Fracture Mechanics, Vol. 62, pp. 535-553 https://doi.org/10.1016/S0013-7944(99)00007-7
  5. Rice, J., 1972, 'Some Remarks on Elastic Crack-Tip Stress Field,' Int. J. of Solids and Structures, Vol. 8, pp. 751-758 https://doi.org/10.1016/0020-7683(72)90040-6
  6. Anderson, T. L., 1994, 'Fracture Mechanics,' CRC Press, Florida
  7. Cartwright, D. J. and Parker, A. P., 1982, 'Opening Mode Stress Intensity Factor for Cracks in Pin-Loads Joints,' Int. J. Fracture, Vol. 18, No. 1, pp. 65-78 https://doi.org/10.1007/BF00034829
  8. Ju, S. H., 1997, 'Stress Intensity Factors for Cracks in Bolted Joints,' Int. J. of Fracture, Vol. 84, pp. 129-141 https://doi.org/10.1023/A:1007357015800
  9. Fett, T., Munz, D. and Tilscher, M., 1997, 'Weight Functions for Sub-Interface Cracks,' Int. J. of Solids and Structures, Vol. 34, No. 3, pp, 393-400 https://doi.org/10.1016/S0020-7683(96)00010-8
  10. 허성필, 양원호, 김철, 2001, '가중함수법에 의한 기계적 체결부에 존재하는 타원형 모서리균열의 혼합모드 응력확대계수,' 대한기계학회논문집 A권, 제25권, 제4호, pp. 703-713
  11. Kiciak, A., Glinka, G., Eman, M. and Shirator, M., 1998, 'Weight Functions and Stress Intensity Factors for Corner Quarter-Elliptical Crack in Finite Thickness Plate Subjected to In-plane Loading,' Engng. Fracture Mechanics, Vol. 60, No. 2, pp. 221-238 https://doi.org/10.1016/S0013-7944(98)00006-X
  12. Wang, X. and Lambert, S .B., 1995, 'Stress Intensity Factors for Low Aspect Ratio Semi-Elliptical Surface Cracks in Finite-thickness Plates Subjected to Nonuniform Stresses,' Engng. Fracture Mechanics, Vol. 51, No. 4, pp. 517-532 https://doi.org/10.1016/0013-7944(94)00311-5
  13. Glinka, G. and Shen, G., 1991, 'Universal Features of Weight Functions for Cracks in Mode Ⅰ,' Engng. Fracture Mechanics, Vol. 40, No. 6, pp. 1135-1146 https://doi.org/10.1016/0013-7944(91)90177-3
  14. Wu, X. R. and Carlsson, A. J., 1991, 'Weight Functions and Stress Intensity Factor Solutions,' Pergammon Press, New York
  15. Fawaz, S. A., 1999, 'Stress Intensity Factor Solutions for Part-Elliptical Through Cracks,' Engng. Fracture Mechanics, Vol. 63, pp. 209-226 https://doi.org/10.1016/S0013-7944(99)00003-X
  16. Fawaz, S. A., 1998, 'Application of the Virtual Crack Closure Technique to Calculate Stress Intensity Factors for Through Cracks with an Elliptical Crack Front,' Engng. Fracture Mechanics, Vol. 59, No. 3, pp. 327-342 https://doi.org/10.1016/S0013-7944(97)00126-4